Answer:
15
Step-by-step explanation:
6/10=9/x
cross multiply
6x=9*10
6x=90
x=90/6x=15
Answer:
The first term of the sequence is -120.
Step-by-step explanation:
The formula for the "nth" term of a geometric sequence is shown below:
an = a0*r^(n-1)
Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:
a0*r^(n-1) = an
a0 = an/[r^(n-1)]
We then apply the data given to us
a0 = 31.45728/[-0.8^(7-1)]
a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120
The first term of the sequence is -120.
Answer:
16%
Step-by-step explanation:
50 events and C shows 8
50/8 = 16%
Answer:
2,500 German chocolate cake boxes.
1,500 Swiss chocolate cake boxes.
Step-by-step explanation:
Let 'S' be the number of Swiss chocolate cakes boxed and 'G' the number of German cholocate cakes boxed. If all of the available ingredients are used:

Solving the linear system above:

2,500 German chocolate cake boxes and 1,500 Swiss chocolate cake boxes can be made each day.
AB & CD
they have the same degree & are equally apart.